Equivalence Principle: Einstein vs Strong

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Andre' Quanta
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1-What is the different between the Einstein equivalence principle and the Strong equivalence principle?
2-Is it possible to formulate the Einstein equivalence principle in this way?
"For every point in space time, always exist a chart / reference frame in which the metric in that point is Minkowski and its first derivative is null"
 
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Another good reference is Clifford Will's "The Confrontation between General Relativity and Experiment" http://relativity.livingreviews.org/Articles/lrr-2014-4/fulltext.html . The Einstein equivalence principle is given in section 2.1, and the strong equivalence principle is given in section 3.1.
 
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Andre' Quanta said:
2-Is it possible to formulate the Einstein equivalence principle in this way?
"For every point in space time, always exist a chart / reference frame in which the metric in that point is Minkowski and its first derivative is null"

Yes.